Magnetic permeability of the Dirac vacuum under confining boundary conditions

被引：2
|
作者：
Carvalho, L. [1 ]
Cavalcanti, R. M. [1 ]
Cougo-Pinto, M. V. [1 ]
Farina, C. [1 ]
机构：
[1] Univ Fed Rio de Janeiro, Inst Fis, BR-21941972 Rio De Janeiro, Brazil
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 34期
关键词：
D O I：
10.1088/0305-4470/39/34/022
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We obtain the magnetic properties of the Dirac vacuum confined between two parallel plates. The confinement is implemented by MIT boundary conditions on the Dirac field and the properties are described by corrections to the Euler Heisenberg effective Lagrangian. When the plates are separated by a distance in the range from nanometres to micrometres the new term associates with the vacuum a magnetic susceptibility of the same order of that of hydrogen or nitrogen at room temperature and atmospheric pressure.
引用
收藏
页码：10923 / 10930
页数：8
相关论文
共 50 条
  • [41] Polarization of vacuum with nontrivial boundary conditions
    N. R. Khusnutdinov
    A. R. Khabibullin
    Theoretical and Mathematical Physics, 2011, 166 : 66 - 80
  • [42] Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of local boundary conditions
    Bandara, Lashi
    Rosen, Andreas
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 44 (12) : 1253 - 1284
  • [43] A Boundary Value Problem for the Dirac System with a Spectral Parameter in the Boundary Conditions
    N. B. Kerimov
    Differential Equations, 2002, 38 : 164 - 174
  • [44] A boundary value problem for the dirac system with a spectral parameter in the boundary conditions
    Kerimov, NB
    DIFFERENTIAL EQUATIONS, 2002, 38 (02) : 164 - 174
  • [45] Magnetic permeability of constrained scalar QED vacuum
    Cougo-Pinto, MV
    Farina, C
    Negrao, MR
    Tort, AC
    PHYSICS LETTERS B, 2000, 483 (1-3) : 144 - 150
  • [46] A spherical shell numerical dynamo benchmark with pseudo-vacuum magnetic boundary conditions
    Jackson, A.
    Sheyko, A.
    Marti, P.
    Tilgner, A.
    Cebron, D.
    Vantieghem, S.
    Simitev, R.
    Busse, F.
    Zhan, X.
    Schubert, G.
    Takehiro, S.
    Sasaki, Y.
    Hayashi, Y. -Y.
    Ribeiro, A.
    Nore, C.
    Guermond, J. -L.
    GEOPHYSICAL JOURNAL INTERNATIONAL, 2014, 196 (02) : 712 - 723
  • [47] COLOR-MAGNETIC PERMEABILITY OF QCD VACUUM
    SAITO, T
    SHIGEMOTO, K
    PROGRESS OF THEORETICAL PHYSICS, 1980, 63 (03): : 993 - 998
  • [48] Characterization of aperture distribution and permeability in single joints under confining pressure
    Kusumi, Harushige
    Kaneda, Toshiya
    Nishida, Kazuhiko
    Ueeda, Kazushi
    Zairyo/Journal of the Society of Materials Science, Japan, 1999, 48 (04): : 341 - 345
  • [49] NUMERICAL SOLUTION OF THE INITIAL BOUNDARY VALUE PROBLEM WITH VACUUM BOUNDARY CONDITIONS FOR THE MAGNETIC FIELD INDUCTION EQUATION IN A BALL
    Bychin, I., V
    Gorelikov, A., V
    Ryakhovskii, A., V
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2020, (64): : 15 - 30
  • [50] Gas permeability evolution of granite under confining pressure unloading tests
    Hu, Dawei
    Li, Jun
    Zhou, Hui
    Lu, Jingjing
    Ma, Dongdong
    Zhang, Fan
    EUROPEAN JOURNAL OF ENVIRONMENTAL AND CIVIL ENGINEERING, 2021, 25 (10) : 1915 - 1928
12345